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dc.contributor.authorBenini, Anna Miriam-
dc.contributor.authorEvdoridou, Vasiliki-
dc.contributor.authorFagella Rabionet, Núria-
dc.contributor.authorRippon, Philip J.-
dc.contributor.authorStallard, Gwyneth M.-
dc.description.abstractWhile the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected wandering domains have so far eluded classification. We give a detailed classification of the dynamics in such wandering domains in terms of the hyperbolic distances between iterates and also in terms of the behaviour of orbits in relation to the boundaries of the wandering domains. In establishing these classifications, we obtain new results of wider interest concerning non-autonomous forward dynamical systems of holomorphic self maps of the unit disk. We also develop a new general technique for constructing examples of bounded, simply connected wandering domains with prescribed internal dynamics, and a criterion to ensure that the resulting boundaries are Jordan curves. Using this technique, based on approximation theory, we show that all of the nine possible types of simply connected wandering domain resulting from our classifications are indeed realizable.-
dc.publisherSpringer Verlag-
dc.relation.isformatofVersió postprint del document publicat a:
dc.relation.ispartofMathematische Annalen, 2022, vol.383, num. 3-4, p. 1127-1178-
dc.rights(c) Springer Verlag, 2022-
dc.subject.classificationSistemes dinàmics diferenciables-
dc.subject.classificationFuncions de variables complexes-
dc.subject.otherDifferentiable dynamical systems-
dc.subject.otherFunctions of complex variables-
dc.titleClassifying simply connected domains-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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